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2. Perform a lowpass prototype transform, find, given the following digital filter frequency values. a. Low...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Sho...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
The MATLAB program below designs a lowpass filter for a passband edge frequency of 250Hz and...
The MATLAB program below designs a lowpass filter for a passband edge frequency of 250Hz and a stopband edge of 350Hz. The sampling frequency is 2kHz. A Hamming window is used. (a) The program is on Webcampus. Run it and copy and paste the wvtool plots into Word. % FIR Filter Design (using wvtool) % Lowpass Design clear fpass 250; fstop 350; fs 2000; wp 2*pi* fpass/ fs; ws 2* pi fstop / fs; M=ceil(6.6 * pi / (ws-wp)) +...
Design a second order IIR Butterworth low pass digital filter with a cutoff frequency of 500...
Design a second order IIR Butterworth low pass digital filter with a cutoff frequency of 500 Hz and a sampling frequency of 10,000 Hz using bilinear transformation then find the following: The output (response) due to the following inputs: Sinusoidal signal with a frequency of 100Hz. Sinusoidal signal with a frequency of 500Hz. Sinusoidal signal with a frequency of 2000Hz. Repeat (a) above for a 6thorder Butterworth filter
1. a. Design a bandstop filter with a cutoff frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s b. Confirm by plotting the magnitude & phase of the transfer function. 2. Design a 5th order low...
1.
a. Design a bandstop filter with a cutoff
frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
b. Confirm by plotting the magnitude &
phase of the transfer function.
2. Design a 5th order low pass butterworth
filter with wc = 1 rad/s.
Use this equation for both problems.
(jo)
(jo)
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff freq...
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
The center frequency is not given. I believe that it must be find based on the body plot. Problem 6:The Bode plot for a passive series RLC bandpass filter is shown in Fig. 2. This filter was built...
The center frequency is not given. I believe that it must be
find based on the body plot.
Problem 6:The Bode plot for a passive series RLC bandpass filter is shown in Fig. 2. This filter was built from a 10 μ F capacitor. What is the filter's center frequency, wo, and its quality factor,昱? If you wanted to double the filter's center frequency without changing its quality factor, using the same 10 pu F capacitor, then how would you...
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation....
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue fiter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/'s). Express the digital transfer function of the filter H(z) as: In the box below, provide the numerical answer for b1. [Note: Don't normalise the transfer func on, i.e. b0 # 1). r98111acontentid1837836_1&step QUESTION 7 Windowing based FIR filter design techniques...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage at Cut off frequency 4.7 k C 1020 V 10 F Figure 5 6 Find at resonance from figure 5: [3 Marks] a. Resonant Frequency. d. Quality factor. e. Bandwidth b. Impedance at resonance f. Current at the half power Current at resonance. c. Vs 10 v L-1mH C-10uF R-102 C L R V Figure 5
QUESTION 28 3 points Save The Siter coefficients of a second-order digital IR filter are: ao-1,a1-2, a2-2, bo-1. b1-1/2, b2 1/8. (a's are numerator coetficients and b's are the denom...
QUESTION 28 3 points Save The Siter coefficients of a second-order digital IR filter are: ao-1,a1-2, a2-2, bo-1. b1-1/2, b2 1/8. (a's are numerator coetficients and b's are the denominator coefficients). Determine the value of the impulse response N4? QUESTION 29 6 points Save Answer An image is to be sampled with a signal-to-quantisation ratio of at least 55 dB. The image samples are non-negative. The image sample values fall within the range from 0 to 1. How many bits...
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to...
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
6. (20 points) (1) Design an analog lowpass filter with a cut-off frequency of 9 rad/sec by starting with an analogue prototype first-order lowpass filter with cut-off frequency of 1 rad/sec. Show the system transfer function H(s) (2) Design an IIR digital filter Hz) that corresponds to the above H(s) by using the bilinear transform method without prewarping with T 0.1 second. Show the system transfer function Hz) and find its corresponding digital cut-off frequency Be approximately (3) What is...
The MATLAB program below designs a lowpass filter for a passband edge frequency of 250Hz and a stopband edge of 350Hz. The sampling frequency is 2kHz. A Hamming window is used. (a) The program is on Webcampus. Run it and copy and paste the wvtool plots into Word. % FIR Filter Design (using wvtool) % Lowpass Design clear fpass 250; fstop 350; fs 2000; wp 2*pi* fpass/ fs; ws 2* pi fstop / fs; M=ceil(6.6 * pi / (ws-wp)) +...
1.
a. Design a bandstop filter with a cutoff
frequency of -3dB at w1 = 20 rad/s and w2 = 100 rad/s
b. Confirm by plotting the magnitude &
phase of the transfer function.
2. Design a 5th order low pass butterworth
filter with wc = 1 rad/s.
Use this equation for both problems.
(jo)
(jo)
Using the windowing functions discussed in class, design a
low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum
stop band attenuation of 40 dB, and a transition width of 200Hz.
The sampling frequency is 10kHz.
1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
The center frequency is not given. I believe that it must be
find based on the body plot.
Problem 6:The Bode plot for a passive series RLC bandpass filter is shown in Fig. 2. This filter was built from a 10 μ F capacitor. What is the filter's center frequency, wo, and its quality factor,昱? If you wanted to double the filter's center frequency without changing its quality factor, using the same 10 pu F capacitor, then how would you...
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue fiter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/'s). Express the digital transfer function of the filter H(z) as: In the box below, provide the numerical answer for b1. [Note: Don't normalise the transfer func on, i.e. b0 # 1). r98111acontentid1837836_1&step QUESTION 7 Windowing based FIR filter design techniques...
51 For the low pass filter in figure 5 find: [2 Marks] Cutoff(Critical) frequency Output Voltage at Cut off frequency 4.7 k C 1020 V 10 F Figure 5 6 Find at resonance from figure 5: [3 Marks] a. Resonant Frequency. d. Quality factor. e. Bandwidth b. Impedance at resonance f. Current at the half power Current at resonance. c. Vs 10 v L-1mH C-10uF R-102 C L R V Figure 5
QUESTION 28 3 points Save The Siter coefficients of a second-order digital IR filter are: ao-1,a1-2, a2-2, bo-1. b1-1/2, b2 1/8. (a's are numerator coetficients and b's are the denominator coefficients). Determine the value of the impulse response N4? QUESTION 29 6 points Save Answer An image is to be sampled with a signal-to-quantisation ratio of at least 55 dB. The image samples are non-negative. The image sample values fall within the range from 0 to 1. How many bits...
Styles Paragraph 6. Given the difference equation y(n)-x(n-1)-0.75y(n-1)-0.125(n-2) a. Use MATLAB function filterl) and filticl) to calculate the system response y(n)for n 0, 1, 2, 3, 4 with the input of x(n (0.5) u(n)and initial conditions x(-1)--1, y(-2) -2, and y(-1)-1 b. Use MATLAB function filter!) to calculate the system response y(n) for n-0, 1, 2, 3,4 with the input of x(n) (0.5)"u(n)and zero initial conditions x(-1)-0, (-2)-0, and y(-1)-0 Design a 5-tap FIR low pass filter with a cutoff...
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